Concept explainers
Expand Your Knowledge: Logarithmic Transformations, Exponential Growth Model Letx = day of observation and y = number of locusts per square meter during a locust infestation in a region of North Africa.
x | 2 | 3 | 5 | 8 | 10 |
y | 2 | 3 | 12 | 125 | 630 |
(a) Draw a
(b) Now consider a transformation
(c) Use a calculator with regression keys to find the linear regression equation for the data pairs (x, y'). What is the
(d) The exponential growth model is
Want to see the full answer?
Check out a sample textbook solutionChapter 4 Solutions
Understanding Basic Statistics
- The fox population in a certain region has an annualgrowth rate of 9 per year. In the year 2012, therewere 23,900 fox counted in the area. What is the foxpopulation predicted to be in the year 2020 ?arrow_forwardSales of a video game released in the year 2000 took off at first, but then steadily slowed as time moved on. Table 4 shows the number of games sold, in thousands, from the years 20002010. a. Let x represent time in years starting with x=1 for the year 2000. Let y represent the number of games sold in thousands. Use logarithmic regression to fit a model to these data. b. If games continue to sell at this rate, how many games will sell in 2015? Round to the nearest thousand.arrow_forwardDoes a linear, exponential, or logarithmic model best fit the data in Table 2? Find the model.arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageFunctions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage Learning